?Show that \(
Chapter 12, Problem 47(choose chapter or problem)
Show that \(|\mathbf{a} \times \mathbf{b}|^{2}=|\mathbf{a}|^{2}|\mathbf{b}|^{2}-(\mathbf{a} \cdot \mathbf{b})^{2}\).
Equation Transcription:
|a b |2 = |a |2 |b |2 ー (a b)2
Text Transcription:
|a times b |^2 = |a |^2 |b |^2 ー (a times b)^2
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